SOLUTION: Please put in standard form. (ellipse) 18x^2+9y^2=153-24x+6y

Question 711592: Please put in standard form. (ellipse)
18x^2+9y^2=153-24x+6y
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Please put in standard form. (ellipse)
18x^2+9y^2=153-24x+6y
rearrange terms:
18x^2+24x+9y^2-6y=153
complete the square:
18(x^2+24x/18+9(y^2-6y/9=153
18(x^2+4x/3+9(y^2-2y/3=153
18(x^2+4x/3+16/36)+9(y^2-2y/3+4/36)=153+8+1
18(x+4/9)^2+9(y-1/9)^2=162

This is an equation of an ellipse with vertical major axis and center at (-4/9,1/9)
Its standard form: , a>b, (h,k)=(x,y) coordinates of center
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